Giving a test to a group of students, the grades andgender are summarized belowАВCTotalMale10171340Female1118938Total21352278Let p represent the population proportion of all malestudents who received a grade of B on this test. Use a99% confidence interval to estimate p to four decimalplaces if possible.|

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Answered: Giving a test to a group of students,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Dr. Dream, an expert in infectious diseases, wanted to estimate theproportion of the adult population in the U.S. that received a flu vaccine.They randomly sample 866 individuals and 388 of them received a fluvaccine. They decide to report a 90% confidence interval for the populationproportion. c. Compute the 90% confidence interval.
Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 33 of the 40 subjects treated with echinacea developed rhinovirus infections. In a placebo group 85 of the 101 subjects developed rhinovirus infections. Use a 0.01 significance level to test the claim that echinacea has an effect on rhinovirus infections. identify test statistic Z = P-Value = What is the conclusion based on the hypothesis test? Test the claim by constructing an appropriate confidence interval. at 99% confidence interval
The prevalence rate of osteoporosis among women were measured in a survey, p(%) = 25.3 SE (p) = 1.8 calculate the upper bound of 95% confidence interval
A county environmental agency suspects that the fish in a particular polluted lake have elevated mercury level. To confirm that suspicion, five striped bass in that lake were caught and their tissues were tested for mercury. For the purpose of comparison, four striped bass in an unpolluted lake werealso caught and tested. The fish tissue mercury levels in mg/kg are given below: a. Construct a 95% confidence interval for the difference in the population means based on these data.b. Test, at the 5% level of significance, whether the data provide sufficient evidence to conclude that fish in the polluted lake have elevated levels of mercury in their tissue. sample 1 polluted lake sample 2 unpolluted lake 0.580 0.382 0.711 0.276 0.571 0.570 0.666 0.366 0.598
A study of 420,031cell phone users found that 134 of them developed cancer of the brain or nervous system. Prior to this study of cell phone use, the rate of such cancer was found to be 0.0438% for those not using cell phones. Complete parts (a) and (b). a. Use the sample data to construct a 90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system. _____%<p<_____% (Round to three decimal places as needed.)
To assess how women are doing in the workforce, we have gathered data from 120 firms with 100 to 500 employees, and have recorded how many of the top 25 highest paid employees are female. Use the data provided in the image. Q1 What is the overall proportion of females in the top 25? Answer is .5093 Q2 What is the lower bound of the 95% confidence interval for the mean proportion of females in the top 25? Answers are not: .4895 or .4634 or .0541 or .0550 or .0542 Q3 What is the upper bound of the 95% confidence interval for the mean proportion of females in the top 25? Answers are not: .0020 or .6794 or .0597 or .0587 or .0746 or .0983
study of 420,077 cell phone users found that 133 of them developed cancer of the brain or nervous system. Prior to this study of cell phone use, the rate of such cancer was found to be 0.0236% for those not using cell phones. Complete parts (a) and (b). a. Use the sample data to construct a 90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system.
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. Step 2 of 2: Suppose a sample of 383 tenth graders is drawn. Of the students sampled, 84 read at or below the eighth grade level. Using the data, construct the 85% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level. Round your answers to three decimal places.
Approximately 91% of all adults in South Korea have a cell phone. In a simple random sample of 200 adults in the United States, 171 owned cell phones. Is there convincing evidence to suggest the proportion of adults who own cell phones in the U.S. is lower than the proportion of adults who own cell phones in South Korea?(a) Conduct a significance test using the 4-step process.(b) A 95% confidence interval for p is 0.8062 to 0.9038. Explain how this interval gives results consistent with the test in part a.
A maternity study evaluated the effect of the mother's stress on the baby's weight at birth. 86 recent mothers with a history of stress who did not have medical or obstetric risk factors during their pregnancy were identified. Of these mothers, 11 of them, gave birth to babies with low weight. Estimate with a confidence interval the percentage of low-weight babies who were born when the mother has suffered from stress during her pregnancy. Use 5% significance level A. (8.31, 13.7) B. The estimate cannot be made with the information provided C. (8.99, 13.01) D. (0.07, 0.22; E. (0.05, 0.19)
A sales and marketing management magazine wants to conduct a survey on salespeople engaging in unethical conduct. In a pilot survey, they found that 50% of managers have caught salespeople working a second job on company time. What sample size does the magazine need if they want to estimate a confidence interval for the proportion of managers who have caught salespeople working a second job on company time with 95% confidence and a margin of error of 0.02.
More carry-on bags for passengers on a flight can delay the loading and un-loading of passengers. Suppose a random sample of 600 passengers for an airline indicated that 172 had more than one carry-on bag. Calculate and interpret the 80% confidence interval estimate for the true proportion of passengers for this airline that have more than one carry-on bag.

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